Generalized diagonals in positive semi-definite matrices

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2025-07-12 DOI:10.1016/j.ejc.2025.104220

Robert Angarone , Daniel Soskin

引用次数: 0

Abstract

We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This provides an analogue of results of Drake, Gerrish, and Skandera on inequalities among generalized diagonals in totally nonnegative matrices.

查看原文本刊更多论文

正半定矩阵中的广义对角线

我们描述了正半定矩阵中广义对角线中的所有不等式。这些结果是由对称群上的一个简单偏序控制的。给出了Drake， Gerrish， and Skandera关于完全非负矩阵中广义对角线间不等式的一个类似结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.